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Finding the Fourth Proportional to 2,784.69, 4,175.73 and 1,615.02

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Solution

The fourth proportional to 2,784.69, 4,175.73 and 1,615.02 is: 2,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.69 : 4,175.73 = 1,615.02 : x
  2. Step 2: Convert to fraction form
    2,784.69/4,175.73 = 1,615.02/x
  3. Step 3: Cross multiply
    2,784.69x = 4,175.73 × 1,615.02
  4. Step 4: Simplify right side
    2,784.69x = 6,743,887.46
  5. Step 5: Solve for x
    x = 6,743,887.46/2,784.69
  6. Step 6: Final answer
    x = 2,421.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.